{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kernel Mixture Network class\n",
    "Notebook to perform interactive tests."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "\n",
    "sys.path.append('../')\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# neural networks\n",
    "import keras\n",
    "import edward as ed\n",
    "import tensorflow as tf\n",
    "from src.kmn import KernelMixtureNetwork\n",
    "\n",
    "# plotting\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from matplotlib.lines import Line2D\n",
    "%matplotlib inline\n",
    "\n",
    "# module loading settings\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Toy dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Size of features in training data: (3750, 1)\n",
      "Size of output in training data: (3750,)\n",
      "Size of features in test data: (1250, 1)\n",
      "Size of output in test data: (1250,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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chbGCjYtny+mR/mLehmWZHkpJP6h0ELEGVuLTbYPUIe2npBmoJQUsCJTGTFPP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\niYiIiHRIgUpERESkQwpUIiIiIh36fxBFyCZn2MDiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9adbb89f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "def build_toy_dataset(n):\n",
    "    np.random.seed(41)\n",
    "    y_data = np.random.uniform(-10.5, 10.5, n)\n",
    "    r_data = np.random.normal(size=n)  # random noise\n",
    "    x_data = np.sin(0.75 * y_data) * 7.0 + y_data * 0.5 + r_data * 1.0\n",
    "    x_data = x_data.reshape((n, 1))\n",
    "    return train_test_split(x_data, y_data, random_state=42)\n",
    "\n",
    "n_observations = 5000  # number of data points\n",
    "n_features = 1  # number of features\n",
    "\n",
    "X_train, X_test, y_train, y_test = build_toy_dataset(n_observations)\n",
    "print(\"Size of features in training data: {}\".format(X_train.shape))\n",
    "print(\"Size of output in training data: {}\".format(y_train.shape))\n",
    "print(\"Size of features in test data: {}\".format(X_test.shape))\n",
    "print(\"Size of output in test data: {}\".format(y_test.shape))\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_size_inches(10, 8)\n",
    "sns.regplot(X_train, y_train, fit_reg=False);\n",
    "plt.savefig('toydata.png')\n",
    "plt.show()\n",
    "#plot.figure.size = 100\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize and train network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fitting model\n",
      "300/300 [100%] ██████████████████████████████ Elapsed: 5s | Loss: 6904.007\n",
      "mean log-loss train: 1.841\n",
      "man log-loss test: 1.927\n",
      "optimal scales: [ 0.4802224]\n"
     ]
    }
   ],
   "source": [
    "kmn = KernelMixtureNetwork(train_scales=True)\n",
    "kmn.fit(X_train, y_train, n_epoch=300, eval_set=(X_test, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9LI0upi3SwqGxI2SLGRqCDdT4IuiaTt7KE8+NYTs2nTVLcIAXB7ZSsAu0hltY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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xe54abdd0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmn.plot_loss();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sample $y$ conditioned on test $x$ and look at densities of first 3 test $x$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SowUiAC2yLtA6OVpFq6wPIUSjP3iQtpGWLpaJiIiIiILEYpmIiIiIyAOLZSIiIiIiDyyW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\nCCFEDVIsCyGEEEIIUcP/B7O7x7W3ooTtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a8f0b8e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vOI4zJ+m3JH3Ttu1vq9Ap4zd3PFJsKutmdXPxtrIuZeJoHudnLmpptTtGf2uf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\nRpIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a8f337f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = model.sample(X_test)\n",
    "jp = sns.jointplot(X_test.ravel(), samples, kind=\"hex\", stat_func=None, size=10)\n",
    "jp.ax_joint.add_line(Line2D([X_test[0][0], X_test[0][0]], [-40, 40], linewidth=3))\n",
    "jp.ax_joint.add_line(Line2D([X_test[1][0], X_test[1][0]], [-40, 40], color='g', linewidth=3))\n",
    "jp.ax_joint.add_line(Line2D([X_test[2][0], X_test[2][0]], [-40, 40], color='r', linewidth=3))\n",
    "plt.savefig('hexplot.png')\n",
    "plt.show()\n",
    "d = model.predict_density(X_test[0:3,:].reshape(-1,1), resolution=1000)\n",
    "df = pd.DataFrame(d).transpose()\n",
    "df.index = np.linspace(kmn.y_min, kmn.y_max, num=1000)\n",
    "df.plot(legend=False, linewidth=3, figsize=(12.2, 8))\n",
    "plt.savefig('conditional_density.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define custom Keras or Tensorflow network as start of KMN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fitting model\n",
      "300/300 [100%] ██████████████████████████████ Elapsed: 5s | Loss: 7017.662\n",
      "mean log-loss train: 1.871\n",
      "man log-loss test: 1.937\n",
      "optimal scales: [ 0.51484364]\n"
     ]
    }
   ],
   "source": [
    "from keras.layers import Dense\n",
    "\n",
    "X_ph = tf.placeholder(tf.float32, [None, n_features])\n",
    "model = Dense(32, activation='relu')(X_ph)\n",
    "model = Dense(16, activation='relu')(model)\n",
    "model = KernelMixtureNetwork(estimator=model, X_ph=X_ph, train_scales=True)\n",
    "\n",
    "model.fit(X_train, y_train, n_epoch=300, eval_set=(X_test, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+/Gbh/ZZzcrieS8gXwjRM8k6ejJPFZ1qAQTKfJJVP4zN9BK0AASuAz/Rhuza2axP2hQla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\nRURERERS4P8AW3or9x461qQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a8f164b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot_loss();"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
